MA.7.GR.1.5 · Geometric Reasoning
Students solve problems involving the dimensions and areas of figures in scale drawings. The scale factor is the constant of proportionality between corresponding lengths, and students learn that when lengths scale by k, the corresponding areas scale by k squared, so doubling every side multiplies the area by four.
On the FAST, students see a scale drawing with some dimensions given and answer through the equation editor, plus multiple choice items about how the area changes. The area relationship is the trap: students scale the area by k when it should be k squared.
These come straight from Algebro's 7th grade question bank, easiest first. Answer one, check it, then move to the next.
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Figure may not be drawn to scale
Showcase extra: the real practice and quiz players do not have this button.
Correct answer: A. 40 cm²
Enter the number only. Do not include units like $, %, or ft²
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Correct answer:
Showcase extra: the real practice and quiz players do not have this button.
Correct answer: 1 : 4, 72
Select every answer that applies, then check.
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Correct answer: A, D, E (highlighted above)
Pick one match in each row, then check.
| 9 cm² : 36 cm² | ||||
|---|---|---|---|---|
| 2 cm² : 50 cm² | ||||
| 5 cm² : 180 cm² | ||||
| 3 cm² : 147 cm² |
Showcase extra: the real practice and quiz players do not have this button.
Correct answer: shown by the green boxes above
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